For the Pizza Dough: Combine the flour and yogurt in a large mixing bowl. Beat with a wooden spoon or spatula until well combined. Turn out onto a floured work surface and knead for 3 minutes until dough is smooth. Allow dough to rest for 5 minutes.

Using a floured rolling pin roll dough out to about 1/4-inch thick circle. Heat a grill to medium-high and brush lightly with olive oil. Preheat broiler. Place dough on the grill and cook until lightly charred and crispy on the first side, about 5 minutes. Flip and cook for 5 more minutes on the second side.

For the Toppings: Remove from heat to a baking sheet. Top with pesto and fig and place under the broiler for 3 minutes just to warm the figs and pesto. Remove from oven and top with dollops of goat cheese.